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Finding the Fourth Proportional to 7,201.64, 10,802.54 and 2,007.51

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Solution

The fourth proportional to 7,201.64, 10,802.54 and 2,007.51 is: 3,011.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.64 : 10,802.54 = 2,007.51 : x
  2. Step 2: Convert to fraction form
    7,201.64/10,802.54 = 2,007.51/x
  3. Step 3: Cross multiply
    7,201.64x = 10,802.54 × 2,007.51
  4. Step 4: Simplify right side
    7,201.64x = 21,686,197.04
  5. Step 5: Solve for x
    x = 21,686,197.04/7,201.64
  6. Step 6: Final answer
    x = 3,011.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.